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通过简化广义Jerk系统，构建了一个三维网格多涡卷混沌系统，利用同相第二代电流传输器（CCII+）设计并实现了该系统的模拟电路. 将该电路与传统运放实现的混沌电路进行了对比，发现基于CCII+ 的混沌电路能在更高频段产生网格多涡卷吸引子，且电路结构更简单，使用器件更少. 最后，通过示波器观测到了网格多涡卷混沌吸引子，验证了混沌电路的物理可实现性，电路实验结果与数值仿真结果一致.
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关键词:
- 混沌 /
- 网格多涡卷混沌吸引子 /
- 广义Jerk系统 /
- 第二代电流传输器
A three-dimensional grid multi-scroll chaotic system is presented by simplifying a generalized Jerk system. The analog circuit system is designed and realized by using positive-type second generation current conveyers. Compared with the chaotic circuit realized by traditional op amp, the chaotic circuit based on current conveyers can generate grid multi-scroll attractors at high frequency, and also has the advantages of simple circuit structure, and few components. Finally, the grid multi-scroll chaotic attractor are observed through using an oscilloscope, and the physical realizability of chaotic circuit is verified by circuit experiment. The results of circuit experiments and numerical simulations are accordant.-
Keywords:
- chaos /
- grid multi-scroll chaotic attractor /
- generalized Jerk system /
- second generation current conveyor
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[2] L J H, Murali K, Sinha S, Leung H, Aziz-Alaoui M A 2008 Phys. Lett. A 372 3234
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[11] Xu F, Yu P 2010 J. Math. Anal. Appl. 362 252
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[13] Chen S B, Zeng Y C, Xu M L, Chen J S 2011 Acta Phys. Sin. 60 020507 (in Chinese) [陈仕必, 曾以成, 徐茂林, 陈家胜 2011 60 020507]
[14] Luo X H, Tu Z W, Liu X R, Cai C, Liang Y L, Gong P 2010 Chin. Phys. B 19 070510
[15] Zhang C X, Yu S M 2010 Phys. Lett. A 374 3029
[16] Sánchez-López C 2011 Appl. Math. Comput. 217 4350
[17] Elwakil A S, Soliman A M 1999 IEEE Trans. Circuits Syst. I: Fundam. Theory Appl. 46 393
[18] Yang Z M, Zhang J, Ma Y J, Bai Y L, Ma S Q 2010 Acta Phys. Sin. 59 3007 (in Chinese) [杨志民, 张洁, 马永杰, 摆玉龙, 马胜前 2010 59 3007]
[19] Sánchez-López C, Trejo-Guerra R, Muñoz-Pacheco J M, Tlelo-Cuautle E 2010 Nonlinear Dyn. 61 331
[20] Wang C H, Yin J W, Lin Y 2012 Acta Phys. Sin. 61 210507 (in Chinese) [王春华, 尹晋文, 林愿 2012 61 210507]
[21] Lin Y, Wang C H, Xu H 2012 Acta Phys. Sin. 61 240503 (in Chinese) [林愿, 王春华, 徐浩 2012 61 240503]
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[1] Deng W H, L J H 2007 Phys. Lett. A 369 438
[2] L J H, Murali K, Sinha S, Leung H, Aziz-Alaoui M A 2008 Phys. Lett. A 372 3234
[3] Zhang C X, Yu S M 2009 Chin. Phys. B 18 119
[4] Trejo-Guerra R, Tlelo-Cuautle E, Jiménez-Fuentes J M, Sánchez-López C, Muñoz-Pacheco J M, Espinosa-Flores-Verdad G, Rocha-Pérez J M 2012 Commun. Nonlinear Sci. Numer. Simul. 17 4328
[5] Luo X H, Li H Q, Dai X G 2008 Acta Phys. Sin. 57 7511 (in Chinese) [罗小华, 李华青, 代祥光 2008 57 7511]
[6] Wang F Q, Liu C X 2007 Acta Phys. Sin. 56 1983 (in Chinese) [王发强, 刘崇新 2007 56 1983]
[7] Chen L, Peng H J, Wang D S 2008 Acta Phys. Sin. 57 3337 (in Chinese) [谌龙, 彭海军, 王德石 2008 57 3337]
[8] Dadras S, Momeni H R 2010 Chin. Phys. B 19 060506
[9] Liu H, Yu H J, Xiang W 2012 Acta Phys. Sin. 61 180503 (in Chinese) [刘恒, 余海军, 向伟 2012 61 180503]
[10] Zhu L, Liu Z, Bao B C, Xu J P 2010 Acta Phys. Sin. 59 1540 (in Chinese) [朱雷, 刘中, 包伯成, 许建平 2010 59 1540]
[11] Xu F, Yu P 2010 J. Math. Anal. Appl. 362 252
[12] Zhang C X, Yu S M 2009 Acta Phys. Sin. 58 120 (in Chinese) [张朝霞, 禹思敏 2009 58 120]
[13] Chen S B, Zeng Y C, Xu M L, Chen J S 2011 Acta Phys. Sin. 60 020507 (in Chinese) [陈仕必, 曾以成, 徐茂林, 陈家胜 2011 60 020507]
[14] Luo X H, Tu Z W, Liu X R, Cai C, Liang Y L, Gong P 2010 Chin. Phys. B 19 070510
[15] Zhang C X, Yu S M 2010 Phys. Lett. A 374 3029
[16] Sánchez-López C 2011 Appl. Math. Comput. 217 4350
[17] Elwakil A S, Soliman A M 1999 IEEE Trans. Circuits Syst. I: Fundam. Theory Appl. 46 393
[18] Yang Z M, Zhang J, Ma Y J, Bai Y L, Ma S Q 2010 Acta Phys. Sin. 59 3007 (in Chinese) [杨志民, 张洁, 马永杰, 摆玉龙, 马胜前 2010 59 3007]
[19] Sánchez-López C, Trejo-Guerra R, Muñoz-Pacheco J M, Tlelo-Cuautle E 2010 Nonlinear Dyn. 61 331
[20] Wang C H, Yin J W, Lin Y 2012 Acta Phys. Sin. 61 210507 (in Chinese) [王春华, 尹晋文, 林愿 2012 61 210507]
[21] Lin Y, Wang C H, Xu H 2012 Acta Phys. Sin. 61 240503 (in Chinese) [林愿, 王春华, 徐浩 2012 61 240503]
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